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2422428797088 = 2532157431124303
BaseRepresentation
bin100011010000000100000…
…000100000100010100000
322120120201020011011110100
4203100010000200202200
5304142113233001323
65052503132102400
7340005021015036
oct43200400404240
98516636134410
102422428797088
118543899a3423
12331596604a00
13147584809581
1485363732556
154302d9a5943
hex234040208a0

2422428797088 has 144 divisors (see below), whose sum is σ = 6948800441856. Its totient is φ = 800465103360.

The previous prime is 2422428797039. The next prime is 2422428797137. The reversal of 2422428797088 is 8807978242242.

2422428797088 is a `hidden beast` number, since 2 + 42 + 2 + 428 + 7 + 97 + 0 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (2422428797039) and next prime (2422428797137).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×24224287970882 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19425945 + ... + 19550247.

It is an arithmetic number, because the mean of its divisors is an integer number (48255558624).

Almost surely, 22422428797088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422428797088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474400220928).

2422428797088 is an abundant number, since it is smaller than the sum of its proper divisors (4526371644768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2422428797088 is a wasteful number, since it uses less digits than its factorization.

2422428797088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124907 (or 124896 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 2422428797088 in words is "two trillion, four hundred twenty-two billion, four hundred twenty-eight million, seven hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 157 288 314 431 471 628 862 942 1256 1293 1413 1724 1884 2512 2586 2826 3448 3768 3879 5024 5172 5652 6896 7536 7758 10344 11304 13792 15072 15516 20688 22608 31032 41376 45216 62064 67667 124128 124303 135334 203001 248606 270668 372909 406002 497212 541336 609003 745818 812004 994424 1082672 1118727 1218006 1491636 1624008 1988848 2165344 2237454 2436012 2983272 3248016 3977696 4474908 4872024 5966544 6496032 8949816 9744048 11933088 17899632 19488096 19515571 35799264 39031142 53574593 58546713 78062284 107149186 117093426 156124568 160723779 175640139 214298372 234186852 312249136 321447558 351280278 428596744 468373704 482171337 624498272 642895116 702560556 857193488 936747408 964342674 1285790232 1405121112 1714386976 1873494816 1928685348 2571580464 2810242224 3857370696 5143160928 5620484448 7714741392 8411211101 15429482784 16822422202 25233633303 33644844404 50467266606 67289688808 75700899909 100934533212 134579377616 151401799818 201869066424 269158755232 302803599636 403738132848 605607199272 807476265696 1211214398544 2422428797088